Coordinate Geometry - Length of a Line Segment

Coordinate Geometry - Length of a Line Segment

TGM Original Questions

The line passing through the points \(A(-5, 7)\) and \(T(t, 8)\) is parallel to the line \(6x + 4y - 7 = 0\).

Find the

value of \(t\),
distance \(AT\).

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Answer:(a) \(t=-\dfrac{17}{3}\). (b) \(AT=\dfrac{\sqrt{13}}{3}\approx1.20\) units.

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